An Efficient Numerical Method for a Class of Boundary Value Problems, Based on Shifted Jacobi-Gauss Collocation Scheme
الموضوعات : مجله بین المللی ریاضیات صنعتی
M. Maleki Miyane
1
(Department of Mathematics, Imam Khomeini International University, Ghazvin, Iran)
S. Abbasbandy
2
(Department of Mathematics, Imam Khomeini International University, Ghazvin, Iran)
الکلمات المفتاحية: shifted Jacobi polynomial, Collocation method, Exponential nonlinearity, Product nonlinearity, Singular boundary value problem,
ملخص المقالة :
We present a numerical method for a class of boundary value problems on the unit interval which feature a type of exponential and product nonlinearities. Also, we consider singular case. We construct a kind of spectral collocation method based on shifted Jacobi polynomials to implement this method. A number of specific numerical examples demonstrate the accuracy and the efficiency of the proposed method.
